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A stability criterion for discrete-time switched nonautonomous nonlinear systems with delays

机译：具有延迟的离散时间交换非自治非自治非自治非自治非自治非自治工人组织的稳定性标准

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摘要

Addressed in the present paper is the stability issues of a class of nonlinear switched systems. It is supposed that the considered systems are nonautonomous and with time-varying delays. By defining the Jacobian-like matrices of nonlinear vector field of the original system, a comparison system (which is a so-called positive system) of the original one is constructed. It is shown that the original system is stable, exponentially stable, asymptotically stable if the comparison system is stable, exponentially stable, asymptotically stable, respectively, both local and global cases are studied. Finally, a numerical example is presented to illustrate the main theoretical results.
机译：在本文中解决了一类非线性交换系统的稳定性问题。假设考虑的系统是非自主的，并且具有时变的延迟。通过定义原始系统的非线性矢量场的雅各比的类似矩阵，构建了原始的比较系统（这是所谓的正系统）。结果表明，原系统稳定，指数稳定，渐近系统如果比较系统稳定，则分别指数稳定，渐近稳定，研究了本地和全球案例。最后，提出了一个数值示例以说明主要的理论结果。

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